Abstract
This paper demonstrates that most existing voting schemes represent or can be rewritten as weighted games. However, axiomatics for power indices defined on simple games are not directly applied to weighted games, since related operations become ill-posed. The author shows that the majority of axiomatics can be adapted to weighted games. Finally, a series of examples are provided.
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Original Russian Text © D.A. Shvarts, 2012, published in Problemy Upravleniya, 2012, No. 1, pp. 33–41.
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Shvarts, D.A. Axiomatics for power indices in the weighted games. Autom Remote Control 76, 708–720 (2015). https://doi.org/10.1134/S0005117915040141
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DOI: https://doi.org/10.1134/S0005117915040141